what is the perimeter of this pentogon?

Answer:

-6, -4, 6

Step-by-step explanation:

1.) f(-1)= (-1)2 - 4

= -2-4

= -6

2.) f(0)=(0)2-4

= -4

3.) f(5)= (5)2 -4

=10-4

6

The inverse Laplace transform of L⁻¹{s²−14s+58/s} is \(e^{2t} + e^{12t}\). This is obtained by factoring the expression and using the table of Laplace transforms to find the corresponding function in the time domain.

To find the inverse Laplace transform of L⁻¹{s² −14s+58/s}, we need to identify the corresponding function in the time domain.

The expression s²−14s+58/s can be factored as (s-2)(s-12)/s.

Using the table of Laplace transforms, we can determine the inverse Laplace transform as follows:

L⁻¹{s²−14s+58/s} =  L⁻¹{(s-2)(s-12)/s}

From the table, we know that  L⁻¹{s-a/s} = \(e^{at}\), where "a" is a constant.

Therefore, applying this property, we have

L⁻¹{s²−14s+58/s} =  L⁻¹{(s-2)(s-12)/s} = \(e^{2t} + e^{12t}\)

Hence, the inverse Laplace transform of  L⁻¹{s²−14s+58/s} is \(e^{2t} + e^{12t}\).

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y = -1/3x + 1

y = -2x - 3

We can compare the equations to the graphs and see which graph represents the intersection point of the two equations.

The first equation, y = -1/3x + 1, has a negative slope (-1/3) and a y-intercept of 1.

The second equation, y = -2x - 3, also has a negative slope (-2) and a y-intercept of -3.

Based on the slopes and y-intercepts, we can identify the correct graph by finding the point where the two lines intersect.

Unfortunately, since the graphs are not provided, I am unable to determine which specific graph shows the solution to the system of linear equations. I recommend referring to the graph representation of the equations and identifying the intersection point to determine the correct graph.

Answer:

30 Boxes can be made

Step-by-step explanation:

Answer:

1.99 per notebook

Step-by-step explanation:

I did have an explanation here but someone *cough* *cough* laurenercsp6fpli  deleted all my answers for no reason. But I did the math and I assure you that the answer is correct.

Answer: 13.05

Step-by-step explanation:

Answer:

To find the total length of the two sides, we simply add them together:

Total length = Side 1 + Side 2

Total length = (8x^2 - 5x - 2) + (7x - x^2 + 3)

Total length = -x^2 + 8x^2 - 5x + 7x - 2 + 3

Total length = 7x^2 + 2x + 1

Therefore, the total length of the two sides of the triangle is 7x^2 + 2x + 1.

Step-by-step explanation:

To find the length of the third side of the triangle, we need to use the formula for the perimeter of a triangle:

Perimeter = Side 1 + Side 2 + Side 3

We are given the perimeter of the triangle as 4x^3 - 3x^2 + 2x - 6 and we know the lengths of Side 1 and Side 2. Therefore, we can rewrite the formula as:

4x^3 - 3x^2 + 2x - 6 = (8x^2 - 5x - 2) + (7x - x^2 + 3) + Side 3

Simplifying the right-hand side:

4x^3 - 3x^2 + 2x - 6 = 7x^2 + 2x + 1 + Side 3

Side 3 = 4x^3 - 3x^2 + 2x - 6 - 7x^2 - 2x - 1

Simplifying further:

Side 3 = 4x^3 - 7x^2 - x - 7

Therefore, the length of the third side of the triangle is 4x^3 - 7x^2 - x - 7.

Yes, the answers for Part A and Part B show that the polynomials are closed under addition and subtraction.

Closure under addition means that when two polynomials are added, the result is also a polynomial. In Part A, we added the two polynomials 8x^2 - 5x - 2 and 7x - x^2 + 3 to get the total length of the two sides of the triangle, which is 7x^2 + 2x + 1. Since the total length is also a polynomial, this shows that the polynomials are closed under addition.

Closure under subtraction means that when one polynomial is subtracted from another polynomial, the result is also a polynomial. In Part B, we subtracted the two polynomials 8x^2 - 5x - 2 and 7x - x^2 + 3 from the given perimeter of the triangle, 4x^3 - 3x^2 + 2x - 6, to get the length of the third side of the triangle, which is 4x^3 - 7x^2 - x - 7. Since the length of the third side is also a polynomial, this shows that the polynomials are closed under subtraction.

Therefore, the answers for Part A and Part B demonstrate that the polynomials are closed under addition and subtraction.

The rectangle in the example has a 173.70 cm perimeter.

The perimeter of a form is the space surrounding its edge. you can find the perimeter of various forms by summing the lengths of their sides.

Given, In a rectangle, the diagonal amount with the base is 72. The diagonal is 2 cm bigger than the base.

Since the Diagonal is 72 cm

and also given base = diagonal - 2

Base = 70

Because Diagonal ² = base² + height²

height² = 72² - 70²

Height² = 284

Height = 16.85

Thus the perimeter = 2*(base + height)

Perimeter of rectangle = 2 * (70 + 16.85)

the perimeter of the rectangle = 173.70

Therefore, the perimeter of the given Rectangle is 173.70 cm.

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The probability that she selects the route of three specific capitals is 97290/1.

The probability that she selects the route of three specific capitals can be calculated by taking the total number of possible routes and dividing it by the total number of routes that involve the three specific capitals. To calculate the total number of possible routes, multiply the number of states (47) by the number of routes that could be selected from each state (2). This gives 94 total possible routes.

47 x 46 x 45 ways = 97290 ways

= 1/97290

Now, calculate the number of routes that involve the three specific capitals. Since the president is selecting three states, the total number of routes will be 3. Therefore, the probability that she selects the route of three specific capitals is 3/94, which can be simplified to 97290/1.

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-1+5x

You combine like terms:

Here there are two different ones.

the number without the variable (the 1s) and the one with the variable (5x)

All you have to do is combine them:

1+(-1)+(-1) = 1-1-1 = -1

5x = 5x

So, the answer would be -1+5x

Hope this helps :D

Answer:

B?

COREEC IF WRONG

Answer:

y=-2/3x-3

Step-by-step explanation:

let the slope of the given line =m1

let the slope of the perpendicular line,=m2

m2=-1/m1

m2=-1/3/2

m2=-2/3

Now the equation of the perpendicular line

y--5=-2/3(x-3)

y+5=-2/3(x-3)

3y+15=-2x+6

3y=-2x+6-15

3y=-2x-9

y=-2/3x-3

Answer:

x = 4ft

Step-by-step explanation:

\(by \ Pythagoras \ theorem : \\x^2 = 3^2 + 3^2 \\\\x^2 = 9 + 9 = 18\\x = \sqrt{18} = \sqrt{2 \times 3 \times 3} = 3\sqrt{2}\ = 4.24 = 4ft\)

The values of all sub-parts have been obtained.

(a) Eccentricity is e = 1

(b) it is a parabola.

(c) The equation of directrix is y = 1.

(d) The sketch has been drawn.

What is general polar form of conic section?

Polar equations of conic sections:

If the directrix is a distance p away, then the polar form of a conic section with eccentricity e is,

r(θ)=ep / (1 − e cos(θ−θ₀)

Where the constant θ₀ depends on the direction of the directrix. This formula applies to all conic sections.

As given,

Polar form of conic section is r = 5 / (2 - 2cosθ)

General polar form of conic section is,

r(θ)=ep / (1 − e cos(θ−θ₀)

Convert given equation in this general polar form respectively,

r = (5/2) / (1 - cosθ)

So, comparing all values

e = 1, d = 5/2

(a) Eccentricity:

From obtained result the eccentricity is e = 1.

(b) Conic Shape:

From given equation e = 1. Therefore, it is a parabola.

(c) Equation of the directrix:

Such type of polar conic curves has horizontal directrix IpI units below pole.

Therefore, equation of directrix will be.

y = 1

(d) Sketch of conic:

As given conic section is r = 5 / (2 - 2cosθ).

At θ = 0,

r = 5 / (2 - 2cos0)

r = undefined

At θ = π/2,

r = 5 / (2 - 2cosπ/2)

r = 5/2

At θ = π,

r = 5 / (2 - 2cosπ)

r = 5/4

At θ = 3π/2,

r = 5 / (2 - 2cos3π/2)

r = 5/2

Plot a graph for above equation which is shown below:

Hence, the values of all sub-parts have been obtained.

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Answer:

$5.25

Step-by-step explanation:

The optimal values of these parameters are:

a. β₁ = 0

b. β₂ = 0

The linear regression y = β1 + β2x + e, assuming that the sum of squared errors (SSE) takes the following form:

SSE = 382 + 681 + 382 + 18β1β2

Derive the partial derivatives of SSE with respect to β1 and β2 and solve the optimal values of these parameters.

Given that SSE = 382 + 681 + 382 + 18β1β2 ∂SSE/∂β1 = 0 ∂SSE/∂β2 = 0

Now, we need to find the partial derivative of SSE with respect to β1.

∂SSE/∂β1 = 0 + 0 + 0 + 18β2 ⇒ 18β2 = 0 ⇒ β2 = 0

Therefore, we obtain the optimal value of β2 as 0.

Now, we need to find the partial derivative of SSE with respect to β2. ∂SSE/∂β2 = 0 + 0 + 0 + 18β1 ⇒ 18β1 = 0 ⇒ β1 = 0

Therefore, we obtain the optimal value of β1 as 0. Hence, the partial derivative of SSE with respect to β1 is 18β2 and the partial derivative of SSE with respect to β2 is 18β1.

Thus, the optimal values of β1 and β2 are 0 and 0, respectively.

Therefore, the answers are: a. β₁ = 0 b. β₂ = 0

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Answer: 1. Given

2. Combine like terms

3. Division

Total distance represented by the simplified expression for which the car was tested equals option c. x² + 2x - 4 .

Total distance drive on flat road = x miles

Total distance drive on downhill =  (x²+ 3) miles

Total distance drive on uphill =  ( x - 7 ) miles

Simplified expression which is equivalent to total distance drive by a car

= Distance drive on ( flat road + downhill + uphill )

= ( x +  x²+ 3 + x - 7 ) miles

= ( x² + 2x - 4 ) miles

Therefore, the simplified expression equivalent to the total distance drive by a tested car is equal to option c.  ( x² + 2x - 4 ) miles.

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The above question is incomplete , the complete question is:

A car company tested a sports car on a road with different inclines. The test driver tested the car by driving a distance of x miles on a flat road,    (x²+ 3) miles downhill, and (x - 7) miles uphill. Which simplified expression is equivalent to the total distance, in miles, for which the car was tested?

a.3x² _ 4

b. 3x² + 10

c. x² + 2x - 4

d. x² + 2x + 10

Answer:

Step-by-step explanation:

first do (x + 6)(x+6)

= (x^2 + 6x + 6x + 36)

multiply all by 2

2x^2 + 12x + 12x + 72

simplify and subtract 50

2x^2 + 24x + 72 - 50

2x^2 + 24x + 22

hope this helps <3

We can approximate the nonlinear system by a linear system at (0,0) using the Jacobian matrix and can find the eigenvalues using the formula det(J(0,0) - λI) = 0.

We have to approximate the nonlinear system by a linear system at (0,0) and find the eigenvalues.

Identify the nonlinear system.
First, you need to provide the nonlinear system of equations you're working with. The system should be in the form of:
dx/dt = f(x, y)
dy/dt = g(x, y)

Calculate the Jacobian matrix.
To linearize the system, compute the Jacobian matrix, J, which contains the partial derivatives of f and g with respect to x and y. The Jacobian matrix is given by:

J(x, y) = [ ∂f/∂x  ∂f/∂y ]
             [ ∂g/∂x  ∂g/∂y ]

Evaluate the Jacobian at (0,0).
Substitute the point (0,0) into the Jacobian matrix to obtain J(0,0).

Find the eigenvalues.
To find the eigenvalues, solve the characteristic equation, which is given by:
det(J(0,0) - λI) = 0

Here, λ represents the eigenvalues, and I is the identity matrix. Solve the resulting polynomial equation for λ to obtain the eigenvalues of the linearized system.

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The experiment that would best test the hypothesis depends on the nature of the hypothesis itself. However find other people born in the same week and ask them what their favorite type of movie is, would likely be the most suitable (option c).

This option involves gathering data from individuals who share the same birth week. By asking them about their favorite type of movie, it allows for a direct comparison and analysis of movie preferences within a specific group. This experiment design aims to investigate if there is a correlation or similarity in movie preferences among individuals born in the same week.

Option a. Asking your friends if they also like the same type of music that you like is more of a casual survey and may not provide robust evidence to test the hypothesis, as it relies on a small, potentially biased sample size.

Option b. Interviewing all of your friends and finding out if the ones born in other weeks also like the same types of movies that you like could provide some insights, but it lacks a comparison group and may not address the specific hypothesis being tested.

Option d. Finding other people born in the same week and telling them about your favorite movie and asking if they also liked it does not directly test the hypothesis about movie preferences and birth week correlation.

Therefore, option c. finding other people born in the same week and asking them about their favorite type of movie would likely provide the most relevant data to test the hypothesis.

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\(\huge{ \mathcal{  \underline{ Answer} \:  \:  ✓ }}\)

The value of Angle 3 is : 42°

Lines n and p are parallel because line q intersects them at right angles.

And here, Angle 3 forms alternate interior angle pair with 42°,

So,

\( \large\boxed{ \angle3 = 42 \degree}\)

_____________________________

\(\mathrm{ ☠ \: TeeNForeveR \:☠ }\)

Finally, we need to subtract one-half the original number, which is $\frac{x}{2}$. So the final expression is:$$\frac{x+100}{2} - \frac{x}{2} = 50$$

1. Let's call the original number x.
2. Double the number: 2x
3. Add 200: 2x + 200
4. Divide the answer by 4: (2x + 200) / 4
5. Subtract one-half the original number: ((2x + 200) / 4) - (x / 2)

Now let's simplify the expression:

((2x + 200) / 4) - (x / 2)

= (2x/4 + 200/4) - (x / 2)

= (x/2 + 50) - (x / 2)

= x/2 - x/2 + 50

= 0 + 50

So, the value of the result is 50.

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The three methods for the evaluation of the accuracy of a classifier are Hold-out method, Cross-validation, and Bootstrap. The major differences among the three methods are explained below:a) Hold-out method:This method divides the original dataset into two parts, a training set and a test set.

The training set is used to train the model, and the test set is used to evaluate the model's accuracy. The advantage of the hold-out method is that it is simple and easy to implement. The disadvantage is that it may have a high variance, meaning that the accuracy may vary depending on the particular training/test split.b) Cross-validation:This method involves dividing the original dataset into k equally sized parts, or folds. This process is repeated k times, with each fold used exactly once as the test set.

The advantage of cross-validation is that it provides a more accurate estimate of the model's accuracy than the hold-out method, as it uses all of the data for training and testing. The disadvantage is that it may be computationally expensive for large datasets, as it requires training and testing the model k times.c) Bootstrap:This method involves randomly sampling the original dataset with replacement to generate multiple datasets of the same size as the original. A model is trained on each of these datasets and tested on the remaining data.

In conclusion, the hold-out method is the simplest and easiest to implement, but may have a high variance. Cross-validation and bootstrap are more accurate methods, but may be computationally expensive for large datasets.

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Answer: a) Lower limit: (13.1 - 0.05) - (18.7 + 0.05) = -5.65 cm

Upper limit: (13.1 + 0.05) - (18.7 - 0.05) = -4.95 cm

Therefore, the lower limit of the difference is -5.65 cm and the upper limit is -4.95 cm.

b) Lower limit: (0.55 - 0.005) - (0.093 + 0.005) = 0.447 km

Upper limit: (0.55 + 0.005) - (0.093 - 0.005) = 0.457 km

Therefore, the lower limit of the difference is 0.447 km and the upper limit is 0.457 km.

c) Lower limit: (2539 - 0.5) - (1.229 + 0.001) = 2537.27

Upper limit: (2539 + 0.5) - (1.229 - 0.001) = 2541.27

Therefore, the lower limit of the difference is 2537.27 and the upper limit is 2541.27.

d) Lower limit: (8.3 - 0.1) - (15.9 + 0.1) = -7.7 m

Upper limit: (8.3 + 0.1) - (15.9 - 0.1) = -7.3 m

Therefore, the lower limit of the difference is -7.7 m and the upper limit is -7.3 m.

Step-by-step explanation: omg u made me so tired

Answer: 9x + 6y = 234

Step-by-step explanation:

Answer:

234

Step-by-step explanation:

it makes more sense then the others

82180 i think- sry if im wrong i just copied it into a calculator and thats wht i got

Answer:

\(64\)

Step-by-step explanation:

\((8^2)^1 \times 8^0 = 64 \times 1 = 64.\)

Answer:

-12

Step-by-step explanation:

10-22=-12

enteric shop is 92.28 before

Answer:

26x - 9.94

Step-by-step explanation:

The product of 26  and x:  26 *x = 26x

9.94 less than 26x :

                26x - 9.94

Answer:

This statement is false.

Sampling error is the difference between the statistic (such as the sample mean) and the population parameter.

The z-value is a measure of how many standard deviations a given data point or statistic is from the mean, and is not directly related to sampling error.

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For the first question, we are given two functions, f(x) and g(x), and we are asked to find f(g(0)). First, we need to find the value of g(0):

g(x) = -6x² - 2x + 6
g(0) = -6(0)² - 2(0) + 6
g(0) = 6

Now, we need to find f(g(0)):

f(x) = x - 2
f(6) = 6 - 2
f(6) = 4

So, the answer to the first question is 4.

For the second question, we are given the function h(x) and asked to decompose it into component functions f(x) and g(x) so that h(x) = f(g(x)). The function h(x) is:

h(x) = (3x - 5)²

Comparing this with the given options, the correct decomposition is:

h(x) = f(g(x)), where f(x) = x² and g(x) = 3x - 5

This is because when we apply f(g(x)), we get:

f(g(x)) = f(3x - 5) = (3x - 5)²= h(x)

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